Question

Find ST if S(-3,10) and T(-2,3)

Answer 1

7.07 units

Explanation:

Answer 2

ST = 7.07 units

Explanation:

* Lets explain how to find the length of a segment

- The length of a segment whose endpoints are
`(x_(1),y_(1))`

and
`(x_(2),y_(2))` can be founded by the rule of the distance

`d=\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

* Lets solve the problem

∵ The line segment is ST

∵ S is (-3 , 10)

∵ T is (-2 , 3)

- Assume that S is
`(x_(1),y_(1))` and T is
`(x_(2),y_(2))`

∴
`x_(1)=-3` and
`x_(2)=-2`

∴
`y_(1)=10` and
`y_(2)=3`

- By using the rule above

∴
`ST=\sqrt{(-2--3)^(2)+(3-10)^(2)}`

∴
`ST=\sqrt{(1)^(2)+(-7)^(2)}`

∴
`ST=√(1+49)`

∴
`ST=√(50)`

∴ ST = 7.07 units